Answer:
20
Step-by-step explanation:
Volume of rectangular prism = length × width × height
Length = 8 inches
Width = 5 inches
Height = 2 inches
Volume of rectanglular prism = length × width × height
= 8 inches * 5 inches * 2 inches
= 80 inches ³
Dimensions of another rectangular prism:
Length = 16 inches
Width = 10 inches
Height = 10 inches
Volume of rectangular prism B = length × width × height
= 16 inches * 10 inches * 10 inches
= 1,600 inches ³
Number of prism A that fits into prism B = Volume of prism B ÷ volume of prism A
= 1,600 inches ³ ÷ 80 inches ³
= 20
Number of prism A that fits into prism B = 20
We know that
X²+y²=9 -------> X²+y²=3²
is the equation of a circle with center (0,0) and radius r=3 units
so
<span>the translation of four units to the right and three units down is equals to move the center (0,0)--------> (0+4,0-3)------> (4.-3)
the new center of the circle is (4,-3)
the new equation is
(x-4)</span>²+(y+3)²=3²
see the attached figure
Answer: Option a.
Step-by-step explanation:
Make the denominator equal to zero and solve for x:
Factor the quadratic equation. Find two number whose sum is -1 and whose product is -2. Then:

Then, as you can see the value x=2 makes the denominator equal to zero and the division by zero does not exist. Therefore you can conclude that the function shown in the problem is not defined at x=2
The answer is the option a.
It should be 4 qt + 1 qt is 1 gallon, I think